Hello Aspirant,

Yes definitely one can apply for JOSAA counselling if he/she has appeared for JEE-Main or JEE-Advance, so even if your rank is 776462 you can definitely apply for JOSAA counselling.

Complete process for registration for JOSAA Counselling is mentioned below :-

• Registration for the counselling on josaa.nic.in
• Choice Filling and Locking of Choices.
• Mock Seat Allotment
• Seat Allotment Result
• Payment of Seat Acceptance Fees and Download of Provisional Seat Allotment Letter
• Reporting to the Reporting Centres
• Confirmation of Admission

Documents which you have to carry to the reporting center for NITs/IIITs/GFTIs :-

• Three Passport Size Photographs identical to the one Uploaded in JEE Main 2021 Registration
• Provisional Seat Allotment Letter
• Candidate Undertaking
• Proof of Fee Payment by e-challan or Internet Banking of SBI for Seat Acceptance (Rs. 15, 000 for SC/ST/PwD candidates and Rs. 35,000 for others)
• JEE Main 2021 Score Card
• JEE Main 2021 Admit Card
• 10th Standard Mark Sheet or Date of Birth Proof
• 12th Standard (or equivalent) Mark Sheet and Pass Certificate
• Photo Identity Card
• Medical Certificate
• Category Certificate (if applicable)
• PwD Certificate (if applicable)
• OCI Certificate or PIO Card (if applicable)
• Print out of Filled Choices for Seat Allotment

Documents which you have to carry to the reporting center for IITs :-

• Provisional Seat Allotment Letter
• Two Passport Size Photographs identical to the one uploaded during JEE Advanced 2021 registration
• Undertaking by the Candidate
• Proof of Seat Acceptance Fee Payment by e-challan or net banking of SBI (Rs. 15, 000 for SC/ST/PwD candidates and Rs. 35,000 for others)
• Valid Photo Identity Card
• JEE Advanced 2021 Admit Card
• Date of Birth Proof (10th Standard Mark Sheet)
• 12th Standard (or equivalent) Mark Sheet and Pass Certificate
• Medical Certificate
• Category Certificate (if applicable)
• Certificate for PwD (if applicable)
• Passport (for foreign nationals) of candidates & parents or OCI Certificate or PIO Card (if applicable)
• DS Certificate (if applicable)
• Registration cum Locked Choices for Seat Allotment

For complete details about JOSSA Counselling process kindly check out the link given below :-

https://engineering.careers360.com/articles/josaa-counselling

I hope this information helps you.

Good Luck!!